English

Semi-simple groups that are quasi-split over a tamely-ramified extension

Group Theory 2017-07-12 v1 Number Theory

Abstract

Let K be a discretly henselian field whose residue field is separably closed. Answering a question raised by G. Prasad, we show that a semisimple K-- group G is quasi-split if and only if it quasi--splits after a finite tamely ramified extension of K.

Keywords

Cite

@article{arxiv.1707.02977,
  title  = {Semi-simple groups that are quasi-split over a tamely-ramified extension},
  author = {Philippe Gille},
  journal= {arXiv preprint arXiv:1707.02977},
  year   = {2017}
}